What is 7.65 percent of 464.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 464.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 464.2 is 100%, so we can write it down as 464.2=100%.
4. We know, that x is 7.65% of the output value, so we can write it down as x=7.65%.
5. Now we have two simple equations:
1) 464.2=100%
2) x=7.65%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
464.2/x=100%/7.65%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.65% of 464.2

464.2/x=100/7.65
(464.2/x)*x=(100/7.65)*x       - we multiply both sides of the equation by x
464.2=13.071895424837*x       - we divide both sides of the equation by (13.071895424837) to get x
464.2/13.071895424837=x
35.5113=x
x=35.5113

now we have:
7.65% of 464.2=35.5113